Then by using decomposition (\(\ref {N}\) ) we obtain the post Riemannian expansion for the Ricci scalar [1]}
\(R=\tilde{R}+T+Q +2 Q_{\alpha \mu \nu }S^{\alpha \mu \nu }+2 S_{\mu }(q^{\mu }-Q^{\mu }) +\tilde{\nabla }_{\mu }(q^{\mu }-Q^{\mu }-4S^{\mu })\) 
